ACT is eking out resources for winter sport (3-7)
I believe the answer is:
ice-skating
'for winter sport' is the definition.
(I've seen this before)
'act is eking out' is the wordplay.
'out' indicates anagramming the letters (out can mean wrong or inaccurate).
'act'+'is'+'eking'='actiseking'
'actiseking' with letters rearranged gives 'ICE-SKATING'.
'resources' acts as a link.
This may not be right. It may belong to another bit of the clue.
Can you help me to learn more?
(Other definitions for ice-skating that I've seen before include "Frozen water sport" , "Torvill and Dean's winter sport" .)