Thomas Dolby described a recent Wapsi Square comic as "appropriat[ed] material" as it quotes from his She Blinded Me With Science song. It's hard to judge from Dolby's comments how seriously he meant his comment and there doesn't appear to be any follow up on his blog.
But it may be an area where independent comic creators need to learn a bit about copyright law to avoid problems. Wapsi Square creator Paul Taylor has had his characters quote song lyrics before (here and here) and I'm actually not sure offhand what the standard for this situation is so I'm not assuming Wapsi Square has done anything wrong.
But I do recall that on at least one time in the past it's been a problem. Pete Abrams decided to remove some song lyrics from a Sluggy Freelance storyline called "Fire and Rain" due to concerns over possible copyright issues.