Does ciprofloxacin have a shelf life?

Yes it does: Shelf life is dependant on the date the antibiotic was manufactured and it is printed on the original bottle.

If no expity date?: If no expiry date it is better not to take it.But you can call the pharmacist who filled the presctription if possible my advice is never use left over antibiotics unless there is expiry date on the label.Different batches have different expiry date and shelf life depends on the manufacturing date.