A different homelite
From everything I have read on this site since I have been here..another homelite, the super ez automatic.
With that said, I bought a cheap husky some years back, a 137 and I have stomped and romped that thing through a ton of stuff. Just ran it and ran it and ran it, still works fine. It is a 36 cc and from day one I treated it like a 50. You can cut an amazing amount of wood with it on a teeny tankful of mix and not much bar oil at all. Let me see..it has had two carb tunes in town where the saw wrench has a tach, on the second bar, and who knows how many used chains after I wore out the one that came with it. I just get cheap/free used safety chains and file the snot of them... And one drive sprocket and a clutch and some used oiler I pulled from a junker, that's it I think. I blow the airfilter out, it stays pretty clean anyway for some reason. I think cutting chips instead of dust helps there a lot on air filters...The original fuel filter is still working on it, mostly because I prefilter all my small engine fuel before I use it, with a filter funnel thing. Plus I go around and retighten all the various screws/bolts once in awhile.
On those little saws (any saw, but more with the smaller ones, because you really notice it fast with much less horsepower to fall back on) a real sharp chain with correctly lowered rakers makes all the difference in the world. Dull, no nads, you can stall it out with just a little leaning on it in the cut, sharp and keep the revs up and let it cut at its own speed, it keeps on chugging.
I bet the homelite you have will get back working real good with a little work though, try that first....
..unless you just really want a new saw and some encouragement to put you over the top..HEY, GO BUY A NEW SAW! hehehehehe
Husky refurbs online are a fairly good deal....as are the classifieds here on this site