Fun fact, the punctures aren't necessarily from necklaces - it was also common for coins be nailed to doorframes for good fortune, and occasionally to the masts of boats and ships.
All of these usages (including as amulets) are extra frequent if the coin features a gorgon's head, because the image itself was said to repel bad luck.
https://en.wikipedia.org/wiki/Gorgoneion
I'm into ancient coins and I completely agree with you about cut coins being extra interesting - another interesting dramatic thing to dive into are overstrikes, coins that have been 'reminted' at a later time than their original minting, and ancient imitation coins - such as those made by tribal peoples living adjacent to Roman territories.
These are generally interesting for such fun features as very eclectic fusion art (think Roman iconography by way of celtic or germanic swirls and stylization), and by sometimes having gibberish text on them when made by an illiterate artisan.