Yes.
Let's take an example. In the interests of simplicity, let's forget about CGT annual exemptions, small gift thresholds and the CAT Group A, B & C thresholds to understand why a credit would be available.
You acquire an asset for next to nothing - a piece of artwork in a car boot sale. It's subsequently discovered that you have a Picasso on your hands with a market value of €100,000. There's a gain of €100,000 and a potential CGT liability of €33,000 (33% of the gain) if you were to dispose of the asset via a sale or a gift.
You decide to gift the asset to somebody else. The CGT payable by the disponer would be €33,000. The beneficiary would have to pay CAT of €33,000 (33% of the value of the gift) in the absence of a credit.
Therefore on the same event - the transfer of the asset - there is total tax payable of €66,000. Quite a hit.
Therefore, where a transaction gives rise to two taxes, CGT & CAT, the law recognises the double taxation and provides a credit as a result.
More information can be found here:
The electronic Irish Statute Book (eISB) comprises the Acts of the Oireachtas (Parliament), Statutory Instruments, Legislation Directory, Constitution and a limited number of pre-1922 Acts.
www.irishstatutebook.ie