This is just off the top of my head (and since it’s 2:00 AM for me, I can’t test it right now). However, I think wrapping the paragraph (or whatever section you want to be that way) in a div (or similar container) and giving the div the style attributes you used for the paragraph (height: [some value], overflow:'scroll') should work.
Again: this is just something I think I have done like this before, so no guarantees for this to be working…
Hope this helps
(Sorry for the bad English – I clearly should stop trying to write English sentences at this time of night )