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This is a reland of 8f4ffc9a with a fix
for a flakiness in LocalSiteCharacteristicsDatabaseTest.PRE_ClearHistory,
the HistoryService::Delete task didn't always had time to run before we
assumed that the entry had been removed from the history, this fix this
by running RunUntilIdle() several time (until the deletion has
complete)



Original change's description:
> RC: Connect the Local DB to TabHelper and add browsertests.
>
> Bug: 773382
> Change-Id: Ie7cbbf2c74bfbf1f1522b2a1f775a392545ad0a9
> Reviewed-on: https://chromium-review.googlesource.com/1088196
> Commit-Queue: Sébastien Marchand <sebmarchand@chromium.org>
> Reviewed-by: François Doray <fdoray@chromium.org>
> Cr-Commit-Position: refs/heads/master@{#568519}

Bug: 773382
Change-Id: I05072f974d70c200fff87e0239c8537c8d0bcfc8
Reviewed-on: https://chromium-review.googlesource.com/1106940
Commit-Queue: François Doray <fdoray@chromium.org>
Reviewed-by: François Doray <fdoray@chromium.org>
Cr-Commit-Position: refs/heads/master@{#569311}