Took turns with Bill tackling terribly late rent (10)
I believe the answer is:
alternated
'took turns' is the definition.
('alternate' can be a synonym of 'take turns')
'bill tackling terribly late rent' is the wordplay.
'bill' becomes 'ad' (advertisement stuck on wall).
'tackling' is an insertion indicator (to tackle is to take possession of).
'terribly' indicates an anagram.
'late'+'rent'='laterent'
'laterent' is an anagram of 'lternate'.
'ad' enclosing 'lternate' is 'ALTERNATED'.
'with' acts as a link.
(Other definitions for alternated that I've seen before include "Took turns" , "Went in turn" .)