Spread around one-time resort (7)
I believe the answer is:
margate
'resort' is the definition.
(I have seen 'coastal resort' mean 'margate' so perhaps 'resort' could also mean 'margate')
'spread around one-time' is the wordplay.
'spread' becomes 'marge' (marge is a kind of spread).
'around' means one lot of letters goes inside another.
'one' becomes 'a' (a thing is one thing).
'time' becomes 't' (abbreviation).
'a'+'t'='at'
'marge' going around 'at' is 'MARGATE'.
(Other definitions for margate that I've seen before include "place in England" , "N. Kent seaside resort" , "which people may visit for seaside holiday" , "Kentish Town?" , "coastal resort" .)