Great ire about to be shown to man on pitch? Keep cool! (11)
I believe the answer is:
refrigerate
'keep cool' is the definition.
('refrigerate' can be a synonym of 'keep cool')
'great ire about to be shown' is the subsidiary indication.
'about' indicates an anagram.
'to' says to put letters next to each other (I've seen this in other clues).
'be shown' becomes 'ref' (I am not sure about this - if you are sure you should believe this answer much more).
'great'+'ire'='greatire'
'greatire' is an anagram of 'rigerate'.
'rigerate' put after 'ref' is 'refrigerate'.
'to man on pitch?' is the link.
I am not very happy about this link. Some or all of it may belong to another bit of the clue.
Can you help me to learn more?
(Other definitions for refrigerate that I've seen before include "Provide cooling" , "Keep (food or drink) cold" , "Freeze" , "Cool!" , "Chill" .)