Large sighs heard following umpire’s decision (7)
I believe the answer is:
outsize
'large' is the definition.
(similar in meaning)
'sighs heard following umpire's decision' is the wordplay.
'heard' shows a homophone (sound like).
'following' is a charade indicator (letters next to each other).
'umpire's decision' becomes 'out' (I am not sure about this - if you are sure you should believe this answer much more).
'sighs' sounds like 'size'.
'size' put after 'out' is 'OUTSIZE'.
Can you help me to learn more?
(Other definitions for outsize that I've seen before include "Massive" , "big girl's blouse, for example?" , "Extra large (clothes)" , "Extra-large (garment)" , "Much larger than average, say clothes" .)