I know that changes to Constitution retroactively affect Maximum Hit Points, but I'm not sure what to do about current hit points.
Say a level 3 character has 12/20 hit points and their Con modifier increases by 1. It makes sense that their maximum HP increases by their level (3) from 20 to 23, but do their current hit points also increase by 3?
In this post (What happens to HP when Constitution decreases?) it looks like the conclusion they came to was that your current HP remained unaffected unless it was above your maximum, in which case it would be reduced to your maximum.
If that is true then keeping logic consistent would suggest that your current HP remains the same when your constitution score increases and that you would have to heal the difference. [In the example with the level 3 character, having their con modifier increase would put them at 12/23 rather than 15/23].
I'm not entirely sure if that is right or not. If Con changes were truly retroactive ("as if you had the new modifier from first level" ~PHB 177) then when the character finished their last long rest they would have been restored to full HP [which in this example is 23/23. Somewhere along the day they take the 8 damage that reduced them to 12/20 originally, but now reduces them to 15/23].
Reading this now, I'm not sure if I should have just asked this on the post I mentioned above. I haven't posted here too many times and I'm not that familiar with how it works.