keep someone at arm's length
US /kiːp ˈsʌm.wʌn æt ˈɑːrmz ˈleŋθ/
UK /kiːp ˈsʌm.wʌn æt ˈɑːrmz ˈleŋθ/

1.
to avoid being very friendly with someone
:
•
She always keeps everyone at arm's length, even her closest colleagues.
•
After their argument, he decided to keep her at arm's length.