Just an idea I had based on something I saw on the BlPublishing forums (which had, in turn, been taken from a D&D one. I also used it to help practice for an Enlgish GCSE, so its a double win. Hurray!

Your New Pet Jabberwock

Introduction

Thank you for purchasing a jabberwock from the Exotic Pet Emporium. With careful training and love, you and your Jabberwock can have a long lasting relationship filled with friendship, happiness and joy. But like all pets, your jabberwock will need caring for, and with this helpful guidebook you will have an easy way to start doing so.

Meeting your Jabberwock for the First Time

You will fully meet you jabberwock after you have gotten home and removed him/her from its reinforced steel box. Jabberwocks become uncomfortable staying in confined spaces for long periods of time, so don't take it personally if it attacks you. However, their claws and teeth are sharp and can inflict painful scratches, so it is recommended that eye protection and heavy gloves are worn. Standard gardening gloves with thick cloth are ideal for this job, as are safety goggles, available from any well stocked DIY store.

Getting a Home for your Jabberwock

To familiarise you Jabberwock with its surroundings, we recommend that you place it within a wire mesh cage in a busy room of your house, such as a sitting room, kitchen or living room. The cage should be reasonably large, with plenty of nooks and crannies for you jabberwock to make a den in. As jabberwocks are creatures that originally lived in forests, we also recommend you furnish your cage with some greenery to stop it from pining-ferns and small shrubs are ideal for this. If you happen to grow bonsai trees, you will also have a scaled down version of a forest that will be a perfect home for your jabberwock.

Ideally, your jabberwock should be kept in a cage for at least four weeks before it is let out of its cage. By this time it will have identified the room as its own, and will as such not purposely try to damage it. You should allow your jabberwock to wander the home from then on, but make sure that you return it to its cage at night time or when nobody is in. Otherwise, it may escape and start terrorising local villages. Pest control may have to be called in and you may never see your beloved jabberwock again!

Jabberwocks are creatures that enjoy the great outdoors and after you feel it is fully familiarised with your home you may be able to take it outside into the garden. However, we recommend that your first few forays out of the house take place with a leash-as mentioned earlier, jabberwocks which have not been with an owner long often escape and will not return. Once your jabberwock has also established your garden as another extension of its territory, it will take it upon itself to see off any intruders into it, including squirrels, birds and any cats. It's probably a good idea to warn any neighbours who own cats that you're letting your jabberwock outside, as they will willingly attack any intruders that refuse to leave.

Getting your Jabberwock to Behave

Jabberwocks are sometimes inclined to misbehave, often due to their territorial and predatory nature. Often this can manifest itself in biting and destroying more fragile parts of the household furniture, and it is best to stop any examples of this behaviour before they start, by taking a Vorpal Blade (also available from this shop) and waving it in front of the Jabberwock, whilst saying; “snicker snack,” in a firm voice. This should be enough to cow your Jabberwock into submission.

Feeding your Jabberwock

Jabberwocks are predators in the wild, and as such are carnivorous. Specially made, nutritionally balanced jabberwock food is available both from this pet shop and form any well stocked supermarket. While the occasional piece of meat from the table is a good way to reward good behaviour from a jabberwock, we recommend you do not regularly feed it on scraps-this can cause your jabberwock to become overweight and ill. Too many jabberwocks have run up expensive vet bills after irresponsible owners fed them from the table a few times too many.

But if you look after you jabberwock then you will have many happy years together. You can enter your pet into training shows, join a jabberwock owner's club to get more help on looking after your pet or simply enjoy the loyalty and companionship it will offer you. Just remember, a jabberwock is for life, not just for Christmas.

Reading this, I couldn't help thinking of "Lilo and Stitch".
But there's definitely some possibility here.
How about a story in which some character tries to domesticate an alit? Or one in which the character is present when the cliff racer egg hatches, and he can't be rid of the damned creature because it thinks he's his mama?