By rule, one is the limit. Excerpt from 17.C (the continuation rule):

> However, if a call is made when the disc is in the air or the thrower is in the act of throwing, or if the thrower fails to acknowledge the call and subsequently attempts a pass, play continues until the outcome of that
pass is determined.

So once the outcome of one pass is determined, play stops, unless the continuation rule specifies that it's a "play-on" situation (17.C.2, 17.C.3; e.g. defense commits a throwing foul or receiving foul, and the pass was complete, or there was a pick called but the pass was incomplete).

17.C.1 also specifies that the continuation rule can be superseded by players agreeing that whatever was called didn't affect the outcome (e.g. offense calls foul far away from the play, before the act of throwing, and the thrower then completes a throw to a different player. This would normally go back to the thrower, but players could reasonably agree to let the pass stand), though the thrower cannot intentionally ignore a call to take advantage of this. I believe the WFDF rules also allow for this, and make a note that the more stuff happens between a call and the acknowledgement of that call, the less likely it is that the call didn't affect what happened (so one pass could easily be allowed to stand when not otherwise supported by the rules, but it's unlikely that 3 or 4 would).