That's a Baseball-Reference Play Index table of relief pitchers this season who have thrown more than 17 innings, have a strikeout rate of at least 11 per nine innings, and have walked fewer than two batters per nine.
I don't know a whole lot about Yimi Garcia, but this isn't the worst group of pitchers to be associated with. Kenley Jansen is making $7.4 million this season. Jake McGee: $3.5 million. David Robertson: $10 million (first year of a four-year, $46 million deal). Sergio Romo: $5 million (and $8 million in 2016). Givens, if he's able to stick, will be making the major-league minimum for the next few seasons. Salary isn't the most ideal way to determine the best players, but this group consists of good to very good relievers who are getting paid well for their work.
Of course, we haven't seen much from Givens. I even rigged that table with a low innings amount qualification just to make sure Givens was included.
After struggling in the minors in 2014, Givens clearly made adjustments and dominated Double-A hitters at Bowie earlier this year. In 57 1/3 innings, Givens posted a 1.73 ERA with a K/9 of 12.4 and a BB/9 of 2.5. He also allowed just one home run. Still, minor-league stats don't always translate. So far, they have.
Building a strong bullpen isn't easy, but the Orioles have assembled some excellent ones under Buck Showalter and Dan Duquette. The best reliever in that span has been Darren O'Day, who should command a hefty raise as a free agent. But even if O'Day walks, the O's could still possess the right parts to piece together an effective bullpen. Zach Britton is superb, but Brad Brach, Brian Matusz (if he's tendered a contract), Givens, and some combination of Chaz Roe, Oliver Drake, Jason Garcia, T.J. McFarland, Steve Johnson, some others (eventually Mike Wright?), and perhaps a free agent could still be good -- especially if Givens excels.
Watching O'Day pitch is phenomenal, and he's been a stabling force in the bullpen. But the Orioles are not going to be able to re-sign all of their impending free agents, and spending a large chunk of money on the bullpen may not be the smartest thing for a mid-market team with a seemingly inflexible budget.
I don't know if the O's will re-sign O'Day or not. But I do know Givens will be in the mix for a sizable role in the bullpen next year. From what he's shown, that seems like a very good thing.