There are 2 bands that use the name Bear Claw.
1. Bear Claw is a three piece, Steve Albini-produced rock band from Chicago consisting of two basses, drums and vocals. Sort of Fugazi or Jawbox style vocals. Many people might say, "two basses, that can't be heavy". You'll just have to check it out for yourself.
http://www.bearclawrock.com
http://bearclaw.bandcamp.com/
2. Bear Claw is a folk band from Austin, TX
http://www.myspace.com/nigelrainey