Eavesdrop making conductor dance (7)
I believe the answer is:
wiretap
'eavesdrop' is the definition.
(wiretaping is a kind of eavesdroping)
'conductor dance' is the wordplay.
'conductor' becomes 'wire' (wire is a kind of conductor).
'dance' becomes 'tap' (tapping is a kind of dancing).
'wire'+'tap'='WIRETAP'
'making' is the link.
(Other definitions for wiretap that I've seen before include "cloak-and-dagger arrangement?" , "sneaky listen" , "Eavesdrop" , "eavesdropping" , "bug" .)