Wenge's very commonly used as a fingerboard wood on electric basses (Warwick in particular is a big fan), so that should work fine. Not sure about its use in a bridge, though, as all the stuff I've worked with has been very split-prone/splintery, and the splinters like getting more or less everywhere and irritate if you don't remove them.
I have seen several acoustics built with wenge back/sides as well, though, so while it may not be ideal in terms of bending, it's not impossible to do. As far as weight goes, it can be slightly heavier than most rosewoods, but it's roughly in the same density range overall. It's certainly lighter than ebony, though. People make necks with the stuff fairly regularly (I use it for laminates/contrast strips, since it looks good and is far easier to find than rosewood, for example).
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