Cream the butter and cheese together in a bowl until well blended. Sift the flour through a sieve (strainer) into the mix and add the chopped chives. Mix with a fork until everything is well combined.
Turn the dough onto a lightly floured board or other flat surface and roll it out to about ¼" (5mm) thickness. Using a plain-edged cookie cutter or upturned eggcup (or similar) cut the dough into rounds of about 1½" (3.5cm). Place these well apart on a lightly greased baking tray and bake in a preheated moderately hot oven (Mk 6 - 400ºF - 200ºC) for 10 minutes. Remove from the oven and allow to cool on a wire rack.