Like part of anecdote Kathy put up (4,2)
I believe the answer is:
take to
'like' is the definition.
(take to can mean to like or grow fond of)
'part of anecdote kathy put up' is the wordplay.
'part of' says the answer is hidden in the clue.
'put up' says the letters should be written backwards.
'otekat' can be found hidden inside 'anecdote kathy'.
'otekat' reversed gives 'TAKE TO'.
(Other definitions for take to that I've seen before include "Like" , "Develop liking or ability for" , "Develop a particular liking for" , "Become fond of" , "Develop a liking for, or adopt as habit" .)