On Thursday night, it was the Giants who opened the scoring in the first period through Kevin Saurette - who then doubled their lead in the second period.
While Colin Shields also netted to make it 3-0 to the Giants, the Clan fought back to score twice - their second goal coming just seconds before the end of the second period.
Just one more goal from the hosts would have taken the game into overtime, but the third period was all about big saves from both netminders and it was the Giants who skated off with the points.
The Belfast side are now within two point of Elite League leaders Nottingham Panthers and are seven points clear of next opponents the Steelers.
Sheffield always have the potential to pose a threat though, and have racked up 15 goals over the course of their last three games - including putting nine past the table-topping Panthers.
Adding an extra edge to Saturday's scheduled clash, Colin Shields will be facing his ex-teammates when Sheffield visit Belfast - having returned to the Giants from the side in December.
On the other hand, former Giant Scott Champagne will be back in Belfast with the Steelers - having only joined them on Wednesday following his release.
Face-off in Saturday's game at the Odyssey is at 7pm.