At home, might be running things (2,5)
I believe the answer is:
in power
'running things' is the definition.
I don't know anything about this answer so I can't tell whether this works.
'at home might' is the wordplay.
'at home' becomes 'in' (similar in meaning).
'might' becomes 'power' (synonyms).
'in'+'power'='IN POWER'
'be' is the link.
Can you help me to learn more?
(Other definitions for in power that I've seen before include "Having charge or control" , "Being the government" .)