Stuart Hogg's late conversion sailed agonisingly wide to give eventual champions Leinster a 17-15 win to book their place in the final against Ulster with such tight margins not falling in Glasgow's favour yet again.
However lock Kellock believes this season his side will increase their chances of sealing the PRO12 title if they can put together a stellar campaign to secure a home semi-final at Scotstoun.
"We want to do better than we did last year and the year before," said Kellock. "We want to get past the semi-final. We want to get that home semi-final and take it from there.
"I think we have improved as players with the experience we gained last season. The guys who were going into it for the first time have done it now.
"We have probably learned our biggest lessons from losing the games. For example, we had every opportunity to win that play-off game against Leinster.
"But we didn't grab it. All of a sudden we were at the end of the match talking about what could have been instead of what was.
"The big thing for us this year is to go from having reasonable success to the biggest success we can have and win it."
Gregor Townsend has looked to strengthen his squad over the summer with the acquisitions of back-rower Richie Vernon from Sale Sharks, Fijian's Jerry Yanuyanutawa and Leone Nakarawa and flanker Tyrone Holmes.
And given his side were the most prolific try scorers in the 22-game regular season last year with 66 scores - the Warriors have a lot of good work to build on in the upcoming campaign.
But it is the talent of 24-year-old flanker Chris Fusaro - the club's player of the season in 2012 - who Kellock believes can take the club to greater heights domestically and in Europe given his exemplary never-say-die attitude.
"Hopefully, we can push on and do well in the Heineken Cup. We have got a good competitive group of players," he added.
"I think Chris Fusaro will be the man this season. He is obviously fairly well-known already. He has an incredibly good work ethic.
"I love playing with him in my team. You have to drag him off the park at the end of the game. He leaves nothing out there.
"Regardless of how much talent or experience we have, it is important that we give our absolute all on the park. He personifies that."