Leicester were 17-7 down oging into the final ten minutes, but Austin Healey's late score and a penalty and conversion from Andy Goode earned Leicester a share of the spoils.
Leicester are now five points clear at the top of the table.
"I was delighted by the way we came back when it was 17-7, everyone put their hands up and we got out of jail," said Wells.
"Martin [Johnson] contributed enormously in the cliff-hanging stages and he held the pack together.
"We've got a lot of guys missing and if you look at the bench there are a lot of young kids aged 19, 20 and 21 on the bench.
"Everyone's done their bit to get us through this period and it's where the older hands like Johnno, Neil Back and Andy Goode have really helped."
Leicester's first-half try came from one of those "young kids" in the shape of teenage winger Tom Varndell.
The 19-year-old followed up his hat-trick against Worcester with a scorching run and dummy past Van Gisbergen to the line.
"We're really pleased with the way Tom Varndell scored his try after the three last week," said Wells.
"We needed some inspiration from somewhere at the time and that gave us the strength to go forward. He's still very raw but he's going to be a great player."
The draw ended a run of nine straight wins in all games for Wasps, who edged up past Sale into second place.
They would have tied up a 10th victory in a row but for a bad penalty miss from Edd Thrower 10 minutes from time.
"If Thrower had kicked that penalty we'd have been out of sight so it does feel like a defeat," said Warren Gatland.
"But in the past the kickers have been successful for us and we won't hold anything against them.
"We're pretty positive. We've had a good season so far and a lot to look forward to.
"The result isn't damaging in terms of staying in the top three. What would be damaging would be to lose one of our Heineken Cup games."