Dampier on the Heat would make them a significantly more formidable team. Their roster is full, but they'd be smart to sign Dampier if they had the opportunity. I'd cut Magloire or Pittman.
I thought they still have one more spot.
Right now, they have:
C: Anthony / Big Z / Magloire / Pittman
PF: Bosh / Haslem / Howard
SF: Lebron / Miller
SG: Wade / Jones / House
PG: Arroyo / Chalmers / Beverley
Those are the 15 guys who I believe have fully guaranteed deals. Then, they have Shavlik Randolph ($250k guaranteed), Kenny Hasbrouk ($250k guaranteed) and Da'Sean Butler (non-guaranteed).
I doubt the Heat would hesitate to waive Beverley, Randolph, etc. if it meant adding Dampier.