Eventhough I am not an expert of family matters yet attempting to answer as under-
If man gets divorce than the female also gets the same. No one is giver or taker in this case.
1. For assessment proceedings we have to peep into Section 171 where it has been clearly prescribed that till the marriage subsists HUF will be assesseed as an HUF. Memebrs will be severally and jointly liable for tax.
If Child is still with husband.
(May I confirm whether the question belongs to the same HUF as mentioned in the first question or this is another HUF. As possibility of a child in the first case is minimum, I am assuming that this is another HUF and wife has not willingly or unwillingly left the husband, but ...died. If she is alive chances of coming back will be taken into account. )
If the child is with husband, and according to their AGE SLAB either of them or both have capacity to form a FAMILY and as such (with this hope) HUF will remain in existence.
3. Till divorse they are husband and wife and we .... even court can not stop them from maintaining
husband-wife like relationship. Courts are also sensitive on such issues and allows sufficient time
to the would be divorcees.
4. Wife is " Malkin". How we can say that she is not having any claim on the property of HUF? She can demand share in case she is willing to live apart. (The husband would give happily her share ...but partial partition is not recognised)