Troll drawing in young lady’s a beast (7)
I believe the answer is:
hamster
'a beast' is the definition.
(hamster is a kind of beast)
'troll drawing in young lady's' is the wordplay.
I cannot quite see how this works, but
'lady' could be 'ms' (alternative to Miss or Mrs) and 'ms' is found within the answer.
The remaining letters 'hater' is a valid word which might be clued in a way I don't see.
This may be the basis of the clue (or it may be nonsense).
Can you help me to learn more?
(Other definitions for hamster that I've seen before include "Animal" , "one running round in circles?" , "Small pet rodent with pouched cheeks" , "Rodent often kept as pet" , "Common pet rodent" .)