Potential seafront walk is ending in Hove (7)
I believe the answer is:
promise
'potential' is the definition.
(thesaurus)
'seafront walk is ending in hove' is the wordplay.
'seafront walk' becomes 'prom' (short for promenade).
'ending in' says to take the final letters.
The last letter of 'hove' is 'e'.
'prom'+'is'+'e'='PROMISE'
(Other definitions for promise that I've seen before include "Potential excellence" , "Assurance" , "Hope; commitment" , "Hopeful sign" , "Vow" .)