Tailoring can make some decent items for cloth wearers and doesn’t rely on a gathering profession so the question is what you pair with it.
Enchanting is popular to pair with it because it likewise doesn’t pair with anything specific, however the thing to consider about enchanting is that it is largely a money sink if you are mostly enchanting just your own gear. You will need to disenchant greens you would otherwise be vendoring or auctioning, and you may even need to buy cheap greens in order to keep the skill levelled with you depending on how many greens you get.
Can you recoup some of this parking yourself by the sw bank and enchanting for low cost/tips? Sure, potentially. This is a time investment though. And i doubt the math works out to where you come out ahead - optimistically at best i bet you break even, minus time spent.
If you go with a gathering profession with tailoring this gives you another potential source of income to sell to players (could help to sfford the mount), and some tailoring recipes do require skinning materials. You could always switch to enchanting at max level when you can more easily sprint through lowbie dungeons for mats.