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Wiktionary
on an irregular basis

adv. (context idiomatic English) irregularly, occurring in irregular time intervals or patterns.

WordNet
on an irregular basis

adv. in an irregular manner; "her letters arrived irregularly" [syn: irregularly] [ant: regularly]

Usage examples of "on an irregular basis".

Subsequently they had fallen into the habit of eating there together on an irregular basis, never more than once a week and often no more than once every two or three weeks.

Adele Finaly has been my analyst for a half-dozen years, and I see her on an irregular basis.

She said the patrols are there on an irregular basis so as not to set up a pattern.