Do insects with compound eyes have depth perception?
"1001 questions answered about insects" by Alexander Barrett and Elsie Broughton Klots includes the following passage:


  Do insects have depth perception? Depth perception of some sort is important to an animal who has to catch its prey; fortunately most
  insects have it to a degree.  Although they do not have binocular
  vision that can be compared with man's, it is true that when one eye
  is covered their depth perception is markedly affected.  The criterion
  of depth seems to depend on the angle of simultaneous stimulation of
  two corresponding points of the retina of the two eyes.


However it does not mention compound eyes specifically. 

There may be other methods of obtaining a perception of distance rather than the binocular vision seen in humans.  This paper suggests that there is 'clear evidence' that  some insects perceive depth by moving their head to artificially create parallax, which they can then recognise and interpret as depth and distance.  They cite the Praying Mantis as an example, which does have compound eyes.