I don't know if this helps or not, but I have (had?) a little Lidl electric screwdriver with a "rubberised" grip. Unfortunately I accidentally knocked over an almost full open tin of Acetone all over it. It "melted" the grip (and a lot of the rest of the plastic casing) to the extent that it's now unusable (but I've kept the internals and the battery as spares).
I've never had a hacksaw with a "rubberised" handle but suggest that, based on the above, if you do try Acetone to cure a sticky handle then you go VERY sparingly indeed. Though I guess that like lots of other plastics, that rubbery stuff comes in differing compositions, but even so "you have been warned".