While Florence did not date their coins until well into the 1500s, the management system at the mint in the 14th-15th centuries (and I assume preservation of the records) enables many coins to be dated to within a 6-month period.
There was one official responsible for the gold coins and another for the silver, each usually changing every 6 months. Their family coat of arms was incorporated into the coin design (typically around 10-11:00 on the reverse), so it's possible to identify who was in charge (and when) when the coins were struck.
The soldino was a silver coin smaller than a dime, and weighing about 2/3 of a gram, struck for only a 9 year period in the mid 15th century. Like all coins struck by the Republic, it features a lily on one side and John the Baptist on the other/
I recently picked up two examples, dateable to 1462 and 1468 respectively.
First dateable to the 2d half of 1462, mint master Giovanni di Paolo Di Paolo Rucellai:


The Rucellai arms in the pear-shaped shield at 11:00 reverse are something like a rampant lion climbing up a hill:
