Drove to old show (5)
I believe the answer is:
rodeo
'show' is the definition.
(rodeo is a kind of show)
'drove to old' is the wordplay.
'drove' becomes 'rode' (ride can mean to travel by car).
'to old' becomes 'o' (common abbreviation eg in OE for Old English).
'rode'+'o'='RODEO'
(Other definitions for rodeo that I've seen before include "Mounted exhibition" , "A bunch of cowboys, showing" , "Drive in Beverly Hills" , "skilful exhibition?" , "sort of exhibition" .)