Yes there is such a thing but I doubt it would work as they are made for larger screws. These also require you to hit it with a hammer which causes it to spin; just doesn't seem like it would work to well for that. More than likely if its that stuck in there you are going to end up stripping the head of it out. Depending on how easy it is to get to I'd say just drill the top of the screw off and then come back with a pair of vise and try again (ofcourse after removing side plate.) I honestly don't see why anyone would put loctite on it but corrosion would be highly likely. Alot of the time when I'm working on my reels I have a very small set of screw drivers I use, but in turn this makes you loose a lot of your power. In most cases (if you are using tiny screw drivers) you should be able to pop it loose with a bigger driver.
I just reread it and saw that you said "screws" vs only having trouble with one of them so drilling them may become a pain. Another thing you may be able to do is is put your your screw driver on the edge and tap the screw driver with a hammer it try to twist it out that way. Then again that would only work if it was a phillips/flat head screw, and I don't know what that particular reel has as far as types of screws (allen, torque head, etc..)
I just reread it and saw that you said "screws" vs only having trouble with one of them so drilling them may become a pain. Another thing you may be able to do is is put your your screw driver on the edge and tap the screw driver with a hammer it try to twist it out that way. Then again that would only work if it was a phillips/flat head screw, and I don't know what that particular reel has as far as types of screws (allen, torque head, etc..)