take it up with someone—ask a person to consider the matter in question:
- Take it up with the insurance company, would you? It’s not worth losing your no-claim bonus.
take up with someone—associate or become friendly with a person, especially smb. undesirable:
- The woman he “took up with” was likely enough to be married herself and of roughly the same age as his own wife.
Note: The expression does not correlate in meaning with the phrase take up for someone—support a person in an argument, etc.:
- “My mom and sisters always took up for me,” Kyle said. “They were always on my side…”