Play video content Exclusive Details Jewelry Unlimited

Offset's showering of luxurious birthday gifts didn't stop with his fiancee buying him a Rolls ... he's also dripping in ice inspired by The Nature Boy.

The Migos rapper got the new chain from the CEO of his label, Pierre "Pee" Thomas. If Pee's name sounds familiar, it's because he also blinged out Gucci Mane and his wife at their wedding.

We're told the Naitch jewelry -- made by Wafi Lalani at Jewelry Unlimited in ATL -- is made up of 27 carats on the chain and 25 on the pendant.

At a cost of $70,000, it's enough to make anyone yell, WOOOOO!!!