Figure that man panics primarily with game showing (8)
I believe the answer is:
heptagon
'figure' is the definition.
(geometrical figure)
'man panics primarily with game showing' is the wordplay.
'man' becomes 'he' (pronoun for a man).
'primarily' says to take the initial letters.
'with game showing' becomes 'tagon' (I am not sure about this - if you are sure you should believe this answer much more).
The initial letter of 'panics' is 'p'.
'he'+'p'+'tagon'='HEPTAGON'
'that' is the link.
(Other definitions for heptagon that I've seen before include "Seven-sided figure" , "A geometric figure with seven sides" , "Seven-sided object" , "Seven-sided shape" .)