Please humor me. This is more a medical question, but I figure someone with experience will know.
My teacher gave me a list of 12 chords to practice switching between, but even before this, when I was doing A, D and E on my own, I found that as time progressed, it got more and more difficult to finger chords without a finger muting a neighboring string. It would rattle, I'd try to adjust, but that didn't seem to help at all.
So, do the fingertips swell from playing?
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I'd say it's possible, but I'm not a doctor. I'm more inclined to believe that what you're experiencing is fatigue.
Watch Jeff Beck towel himself down after playing a 90 minute set.
Duke Ellington said it best: "If it sounds good, it IS good!"
If your finger is in pain and swelling you should really stop practicing before you damage it further and get bigger problems. If the problem persists you should really see a doctor if you are getting something serious.