Is Connor Prielipp's Innings Limit in the Room With Us Now?

Depends on your definition of what it means to be "under an innings limit." 

I've never heard the Twins say he's "on an innings limit," but they've been pretty consistent in saying things about "managing his workload." And they've subtly done it...

• His first start was in Game 24. He last pitched (as a bulk pitcher) in Game 139. Were he to have pitched every five games, he'd have 24 starts in that time period. He had a brief IL stint which cost two starts, but he's only had 20 rather than 22 one would expect. They gave him extra days on several occasions, twice going on 7 days rest, once on 8 and once on 9. By comparison, Bradley has never gone on more than five days rest, save his own two-start stint on the IL. 
• He's never pitched more than 98 pitches. (Aside: An impressive stat about his season is that he's never gotten shelled badly enough to get pulled before 72 pitches or before 4 innings.) By comparison, Bradley has gone 99 or more pitches 14 times and has averaged 97 pitches. 
• As we get to the end of the season, they used him as a bulk guy on Tuesday to lessen the likelihood of facing the more stressful top of the order three times (and strategically pulled him after 76 pitches when the game was broken open).
• They've announced Matthews, Bradley, Ober for the weekend, meaning he's going to get at least one extra day before a start on Monday. They kept Ryan to 3 innings on Tuesday night and have said he could come back on the road trip. If they were to use Ryan Monday on five days rest, Prielipp would go Tuesday on six days.
• And I suspect if they reach of the point of self-determining that they are out of the wild card chase, they will shut Prielipp down for the year. 

If Prielipp pitches another 4 games this year, that'll still put him under 140 innings for the full season including AAA. Considering Prielipp will pitch in 28 games at that rate and average (at this pace 83 pitches). Prielipp could have gone deeper into games based on pitch counts.

I'm not sure what limiting a player means around here, but Prielipp isn't of any value to the team throwing a ceremonial first pitch in game 1 and shutting him down for the year afterwards while we can all post "preeeeeccccccious" in the forums and debate endlessly about how amazing our prospects are all going to be just as soon as we play them.

Annual innings limits have no correlation with injury. They do not help.