there are two ways to take the case back as chargesheet is not filed. Your wife would need to give a statement in the police station that she wants to take back her complaint as you have entered into a compromise in that case the police would file a B report and the case would end.
The better alternative is to file a Quashing of FIR case in HC and your wife would give a statement that compromise has been reached and teh HC will quash the FIR.
The flaw in first alternative is that the police cannot be trusted they even after getting the statement from wife sometimes file a chargesheet instead of B report that results in realising later that the case is still on as you get the summons from the trial court after a year or so.