Place for big game? It's a mud construction (7)
I believe the answer is:
stadium
'place' is the definition.
(thesaurus)
'it's a mud construction' is the wordplay.
'construction' indicates anagramming the letters (answer constructed from certain letters).
'its'+'a'+'mud'='itsamud'
'itsamud' with letters rearranged gives 'STADIUM'.
'for big game?' acts as a link.
This may not be correct. Some or all of it may be part of another bit of the clue.
Can you help me to learn more?
(Other definitions for stadium that I've seen before include "Sports ground as for athletics" , "Venue for sporting events, concerts etc" , "Open-air sports venue" , "A major sports ground" , "eg Yankee, Wembley" .)