Poet on the radio laments new town (6,6)
I believe the answer is:
milton keynes
'new town' is the definition.
(I've seen this before)
'poet on the radio laments' is the wordplay.
'poet' becomes 'milton' (John Milton).
'on' means one lot of letters go next to another (in a down clue, letters appear on others).
'the radio laments' becomes 'keynes' (I am not sure about this - if you are sure you should believe this answer much more).
'milton'+'keynes'='MILTON KEYNES'
Can you help me to learn more?
(Other definitions for milton keynes that I've seen before include "New city now with Dons" , "Buckinghamshire new town, designated 1967" , "Open University HQ city" , "Monkeys let in (anag) - English town" , "town in 21 [BUCKS] - with 16a" .)