Puss half touches shy animal (5)
I believe the answer is:
coypu
'animal' is the definition.
(coypu is a kind of animal)
'puss half touches shy' is the wordplay.
I cannot really see how this works, but
'shy' could be 'coy' (coy can mean shy or modest) and 'coy' is located in the answer.
This explanation may well be incorrect...
Can you help me to learn more?
(Other definitions for coypu that I've seen before include "Animal -- source of nutria fur" , "Aquatic beaver-like rodent" , "South American beaver-like beast" , "Large South American aquatic rodent" , "S American rodent inadvertently introduced into Europe" .)