You cannot uninstall eBay as such - do you mean something like Selling Manager?

Listings etc are held on ebays database not your computer,

you cannot 'uninstall ebay' as you don't install it in the first place.

What is it you are trying to do.

Are you talking about an app?  You won't lose your listings if you reinstall, for the reason others have mentioned.

Loose your items on an eager, waiting world!

Or to add a touch of affectation to pedantry:

    Things fall apart; the centre cannot hold;
    Mere anarchy is loosed upon the world,
    The blood-dimmed tide is loosed, and everywhere
    The ceremony of innocence is drowned;
    The best lack all conviction, while the worst
    Are full of passionate intensity.

All seems to have a horrid resonance, somehow. looking at the possible effects upon eBay's poor sellers of the wonderful new "defects" system, no matter how hard eBay higher-ups try to defend it.

Joking aside - mobile devices like tablets and smartphones seem to make it incredibly difficult for sellers to maintain their usual standards. Having ventured into the wonderful world of Android/tablets, I'm becoming more and more sympathetic towards all the ghastly capitals-only or no--capital-letter-at-the-beginning-of-a-sentence posts which crop up more and more frequently. The "devices" really don't always help the users.

Might it be worth continuing to use conventional computers for important activities until the technology matures a little further?

Do you mean uninstall Turbolister?  If so, you will lose all the items in the database (but your current Ebay listings won't be affected).

There's a way to save the content of TL before you uninstall, then you can reload it into the reinstalled TL - have a look at the Help function within TL.