Жене по вечерам хорошо работается на кухне, а мужу — в гостиной за компьютером.

In this sentence, Жене (to the wife) and мужу (to the husband) are in the dative because the structure кому + хорошо работается literally means “it works well for whom.”

Russian often uses the dative to show the person who experiences a certain state or condition:

• Мне холодно. – I am cold. (Literally: It is cold to me.)
• Ему трудно работать. – It is hard for him to work.

Similarly:

• Жене хорошо работается … – It is easy/pleasant for the wife to work …
• … а мужу — … – … and for the husband (it is easy/pleasant to work) …

So the dative here marks the “experiencer” of the situation, not the grammatical subject (there is no normal subject in an impersonal construction like работается).