Volunteer to house complete delinquent (8)
I believe the answer is:
offender
'delinquent' is the definition.
(thesaurus)
'volunteer to house complete' is the wordplay.
'volunteer' becomes 'offer' ('offer' can be a synonym of 'volunteer').
'to house' is an insertion indicator.
'complete' becomes 'end' (I've seen this before).
'offer' going around 'end' is 'OFFENDER'.
(Other definitions for offender that I've seen before include "Culprit" , "Criminal" , "Law breaker" , "miscreant" , "Transgressor, lawbreaker" .)