I am guessing that you are asking about soaking part (or all) of a cardboard BT with CA? If so, I think you will answer your own qstn if you play with some scrap BT material.
The cardboard/fiber makeup of most BT is loose enough that if you drip a little thin CA into the inside surface, near the end of the tube, it will soak in and spread out (I don't wait for it to spread by itself, I usually smear it around with a toothpick or stick of scrap balsa). My experience is that one drop, given a couple minutes, will spread out 1/4 to 1/2 inch in all directions.
If you want to soak more than just the end of the tube it kind of turns into a one-man circus----you are going to have to work fast. I drip several drops of CA inside the tube, set down the CA quickly and grap a Qtip, and spend about ten seconds smearing the CA around inside the BT with the cotton tip. More than that and you start pushing your luck with permanently bonding the Qtip inside your cardboard BT. Spread the CA as thinly as you can, rotate the tube to help spread it out, and don't leave any puddles----these will harden in place at full thickness and turn into obstructions. (If you are making a reinforced motor mount tube, your motor will not slide into the tube past these obstructions)
Mostly, I use CA around the front and rear edges of BT to help withstand the wear-n-tear of nose cone and motor insertion/removal. If I want to soak the entire tube, I usually use a thin epoxy product (more working time).