Radio centre play may finish on the way to the theatre (5,4)
I believe the answer is:
drury lane
'radio centre play' is the definition.
The definition suggests a singular noun which matches the answer.
'finish on the way to the theatre' is the wordplay.
I cannot really understand how this works, but
'way' could be 'lane' (lane is a kind of way) and 'lane' is present in the answer.
The remaining letters 'drury' is a valid word which might be clued in a way I don't understand.
This explanation may well be incorrect...
'may' acts as a link.
Can you help me to learn more?
(Other definitions for drury lane that I've seen before include "street outside theatre" , "London Theatre street" , "Theatre Royal street" .)