Consider this famous Hindi proverb,
A washerman's dog belongs neither at home nor at the riverbank.
This saying is used to describe someone who doesn't fully belong to or fit into any group or place, often because they are trying to serve or please multiple parties and end up satisfying none.
Is there a English equivalent to this proverb?
I should also point out that in US (at least) most people do their own laundry (based on my brief experience there) so probably there is no washerman there.