Of course they produce gravitational waves! The main point of curiosity is likely that unlike black holes, that are "hairless" entities of pure curvature, neutr

Of course they produce gravitational waves! The main point of curiosity is likely that unlike black holes, that are "hairless" entities of pure curvature, neutron stars are complex objects with multiple, variable layers... and consequentially (I presume) the gravitational waves occasioned by their merger would both carry more information about the objects' composition and likely be more complicated (as well as less powerful at any given distance). I'm just guessing though.