Any miners may get new coins. Someone can mine by getting unmined coins first (regular tokens), either by buying them from the SAFE Network directly or on the market if people already pre-bought them from the SAFE Network. Then the miner can run software (doesn’t exist yet, but not hard to make) to find a proof of work for the coin(s) in question. Only then will wallets recognize the token as a Clike token.
It will be possible to extend the protocol to let smaller denominations be mined (with corresponding easier mining difficulty). Breaking up existing “full” denomination tokens in smaller denominations would be possible as well (though this would cost some network PUTs). Whether these features will be enabled/implemented is a matter of demand, which, if Clike tokens are highly valued, will likely be big.