An Ireland multiple-entry tourist visa allows you to enter and leave Ireland as many times as you want, as long as your Irish visa is still valid.
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The reason Ireland gave for not joining the other EU states in forming the Schengen zone in 1985 was the existence of the CTA with the UK, which would have disappeared if Ireland joined Schengen and the UK did not.
If you are a non-EU/EEA national, you will need to get permission to work from the Irish immigration authorities. This means you will need to apply for a work permit first and then apply for a work visa.