Speaking to the club website after the game, Savage was understandably thrilled with the win.
"Really delighted about the result. We knew that Saracens coming up here were going to pose a really tough challenge as they're a top side, but we managed to pressure them in the right areas and secure the win.
"We knew that we had to make everything as hard as possible for them, pressure them and play in the right areas. Then hopefully we'd get the opportunities and, fair play to the boys, we put them away when we did.
"The work rate was outstanding from every single player, and it had to be in those final stages. It was huge to keep them out in those final stages and we're just glad to have held on for the win."
Nearly 16,000 people packed into Kingsholm to roar the home side on, and the 25 year old, who has made 25 starts this season, enthused about how important their backing was.
"The support really makes a difference on a day like this. When you need just that extra bit of motivation, the noise kicks in and spurs you on.
"And we've a number of boys making their final appearance at Kingsholm here today, and the reception they got after the game finished speaks volumes about the supporters here.
"We've now got to build on that and maintain the momentum going into the Exeter game. We'll both be looking to finish on a positive note so it should be a good one."