Listener puzzles — one gets stuck in, never giving up? (9)
I believe the answer is:
resilient
'never giving up?' is the definition.
'listener puzzles one gets stuck in' is the wordplay.
'puzzles' is an anagram indicator.
'one' becomes 'i' (Roman numeral).
'gets stuck in' means one lot of letters goes inside another.
'listener' is an anagram of 'reslient'.
'reslient' placed around 'i' is 'RESILIENT'.
(Other definitions for resilient that I've seen before include "Flexible" , "Irrepressible" , "Elastic" , "bouncing back" , "quick to bounce back" .)