The only use for a condom that is not complete would be to use it as a 'dental dam'.
To form a dental dam, you cut off about 1 inch of the tip and then cut down the length of the condom, and then lay it flat - but the resulting latex sheet should not have any damage in it.
And for those who don't know, a dental dam is a safe sex latex barrier that is used to preven
he spread of disease during cunnilingus and analingus - and it is effective but is also very seldom used.
cunnilingus - licking your mhm
analingus - licking your ass
Keep your tongue from getting wet because you love the dry feeling.
You answered your own question.