It is worth a try. I would cut down all the upper branches, keep the one with the lower leaf, and possibly one with the lowerupper leaf. You could also take the portion with the upper leaf, and give it a bit of rooting compound and try to root that in a new pot/medium. Any branches that have new leaves appearing might be worth saving, but the less energy that a healing plant has to put into feeding leaves, etc. the better.
If you have anything like Super-Thrive, give the plant just a tiny bit. It might help. A new layer of compost might also help. I have managed to pull off one to two plants like this that I neglected or forgot to pot after getting them on clearance. There is no guarantee it will survive though.
It is hard to tell, but the soil does appear wet, so that is good. Keeping the soil moist, but not too wet is good while it is trying to survive.