OK, let's think this out.
Take a lightweight bicycle chain and use a link puller to disassemble it completely. Use nothing but "master links" and on each master side with the two posts sticking out, spot-weld small blades on. Reassemble in normal fashion, you've got your chain - compatible with small-grade bicycle sprockets widely available. Assemble it with the master caps on alternating sides...the total blade width will be wider than a conventional chainsaw...hmmm...is that a bad idea? It'll have less friction in operation than a standard chainsaw blade, at least based on how I remember my dad's chainsaw working.
You'd need a 4" grip, a 6" blade and 4" max for the engine assembly (MUCH smaller than 3.5HP, think closer to a .5 COX or whatever motor). At that point it's a genuine belt sheath knife (!!!). The single hardest thing to build might be the pull-start mechanism, the rest I could probably figure out but I don't know what device to abuse and adapt to such purposes. Most of the rest is just altered off-the-shelf crap.
Jim March