Compère gets Military Cross after end of programme with ease, one hears (5)
I believe the answer is:
emcee
'compere' is the definition.
(synonyms)
'military cross after end of programme with ease one hears' is the wordplay.
'military cross' becomes 'mc'.
'after' says to put letters next to each other.
'end of' indicates one should take the final letters.
'with' means one lot of letters go next to another.
'one hears' indicates a 'sounds like' (homophone) clue (I've seen 'heard of' mean this).
The final letter of 'programme' is 'e'.
'ease' sounds like 'ee'.
'mc' after 'e' is 'emc'.
'emc'+'ee'='EMCEE'
'gets' acts as a link.
(Other definitions for emcee that I've seen before include "MC" , "Compere" , "Master of ceremonies (mainly US)" , "Announcer" , "Show host" .)