If you get this (annoying) error then a possible solution is to check if your account which you use to administrate(or use the search service application) on the SQL Server side.
The search application ‘Search Service Application’ on server did not finish loading. View the event logs on the affected server for more information
Open Your SQL Server Management studio. Go to your Security folder, then Logins and then double click on your account which needs search privileges. Then go to user mapping in the new window and check that the following search service databases has privileges to your account and that the account has the “SPSearchDBAdmin” rights assigned: