Finding piece of wood to entertain pet at home (8)
I believe the answer is:
locating
'finding' is the definition.
(I know that locating is a type of finding)
'piece of wood to entertain pet at home' is the wordplay.
'piece of wood' becomes 'log'.
'to entertain' indicates putting letters inside.
'pet' becomes 'cat' (I've seen this in another clue).
'at home' becomes 'in' ('I'm in' can mean 'I'm at home').
'cat'+'in'='catin'
'log' going around 'catin' is 'LOCATING'.
(Other definitions for locating that I've seen before include "Coming across" , "Finding" .)