We're often asked to produce badges featuring a logo or text on top of a flag. This year due to the 1916 centenary there have been a lot of badges with a tri-colour background but we get asked for county flags as well as the flags of other countries.
One issue with using a flag on a badge is that a flag is rectangular and the badge is round so by using an actual flag you reduce the space for a logo considerably as shown in example on the left of the image below. Using the colours of the flag as a backdrop to fill the badge (as shown on the right) works much better and allows a larger space for your logo or text and gives a nicer look.
Below is another example showing some badges using the Clare county colours.