Answer
Based on official Jordanian legal texts
After a divorce in Jordan, a husband retains only limited rights while certain financial obligations continue, depending on the type of divorce and its circumstances. His principal right is rajʿa in revocable talaq: Article 92 allows him to take his wife back during the ʿidda, and Article 98 confirms this right is firmly established, cannot be waived away, and needs no new contract or dowry so long as the ʿidda continues.
If the ʿidda of a revocable divorce expires without a return, that right lapses and the wife may return only through a new contract. In irrevocable divorce the husband has no right of return at all; in minor irrevocability he may only conclude a new contract by mutual consent under Article 93.
In return, the husband's financial duties continue: the deferred dowry, which falls due on divorce under Article 42; ʿidda maintenance set out in Articles 151 and 152; and child support owed by the father under Article 187 regardless of the divorce.
The husband cannot waive the children's rights or what concerns their interest through an agreement that harms them, since those rights belong to the children and not to either spouse.
This is a general explanation based on Jordanian Personal Status Law and does not replace advice from a qualified lawyer in a specific dispute.