Keep talking, pet (6)

I believe the answer is:

rabbit

I'm a little stuck... Click here to teach me more about this clue!

'pet' is the definition.

I cannot understand how the rest of the clue works.

(Other definitions for rabbit that I've seen before include "one found in the tail" , "may be pulled out of Derby, perhaps" , "Come up with a solution and pull one out of the hat" , "Bit bar (anag.)" , "8's friend with relations" .)

I've seen this clue in the Evening Standard.

Want a hint initially instead of a full solution? Install my app