There are plenty of teams with cap issues. Some teams like the Vancouver Canucks, Toronto Maple Leafs, and Anaheim Ducks are at the cap ceiling with no breathing room for a call up. These teams are tight, but can still easily manage their situations looking for breathing room.
Top 3 teams with salary cap issues
Tampa Bay Lightning: A quick look at CapFriendly will show you just how bad of a situation they are in. With only 18 players signed, and the need to get to at least a 21-22 man roster, Tampa only has $2.