A casual arrangement is a connection with agreed limits and no automatic expectation of becoming a conventional relationship.
Plain English
Casual arrangement.
The arrangement may be a one-off, occasional or recurring. The useful part of the phrase is not “casual” but the practical detail: frequency, communication, availability and whether either person expects exclusivity.
How it may appear in a profile
“Interested in a relaxed casual arrangement.”
“Looking for a casual arrangement once or twice a month.”