Dirge played on the rooftop (5)
I believe the answer is:
ridge
'the rooftop' is the definition.
(I've seen this before)
'dirge played' is the wordplay.
'played' is an anagram indicator (letters playing around).
'dirge' anagrammed gives 'RIDGE'.
'on' is the link.
(Other definitions for ridge that I've seen before include "drum" , "Backbone of a whale" , "Narrow raised strip as between hills" , "German Baltic port, Buxtehude home" , "Raised earth between furrows" .)