There are already people that have submitted requests for addresses with a reward offered, and a crypto secured procedure where the "miner" can't also spend the bitcoins.
https://vanitypool.appspot.com/
However, people that would be wanting a vanity address likely have better hardware themselves than a super crappy laptop; the easiest-to-find addresses that are being requested on that site would take about 20 days on average with a high-end GPU. It is also less profitable than mining; most are offering about 1% of the "honest fee" where they would be paying the same as the miner would earn mining Bitcoins for the same time.
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I have a super crappy laptop currently mining Hobonickels, but would like to earn more. I will vanity mine addresses for you, you can define the price and pay me after you verify that it works.
I think that you won't get more coins by doing so than you do by mining.
1) People would pay proportionally to what the computing effort required to find the addresses would bring by mining bitcoin instead, and no more than that.
2) People would actually pay less than this upper bound, as there is a risk premium because they have to trust you won't keep the private key of their address.
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