Add ... "Time for ancillary part!" (9)
I believe the answer is:
appendage
'ancillary part' is the definition.
'appendage' can be an answer for 'part' (appendage is a kind of part). I'm not certain of the 'ancillary' bit.
'add time' is the wordplay.
'add' becomes 'append' (synonyms).
'time' becomes 'age' (an age is a period of time).
'append'+'age'='APPENDAGE'
'for' is the link.
Can you help me to learn more?
(Other definitions for appendage that I've seen before include "It hangs on" , "Attached item" , "An outgrowth" , "Addendum" , "Something attached to a larger thing" .)