Time musical is current (5)
I believe the answer is:
trent
'is current' is the definition.
(River Trent)
'time musical' is the wordplay.
'time' becomes 't'.
'musical' becomes 'rent' (Rent is an example).
't'+'rent'='TRENT'
(Other definitions for trent that I've seen before include "Chief river of the Midlands" , "River at Stoke and Burton" , "Crossword frame" , "Little Nell family; Eng. river" , "River flowing through Nottingham" .)