Cream butter. Mix in cheese, Worcestershire sauce and Tabasco sauce; stir to blend.
Slowly stir in flour until completely blended. Turn onto a lightly floured work surface and shape dough into a roll. Cover in plastic wrap and chill for several hours.
Heat oven to 375 degrees F. Lightly grease a cookie sheet.
When chilled, slice dough in four pieces lengthwise. Roll each piece until it is as thin as a drinking straw. If the rolls become unwieldy cut them in half, crosswise.
Slice into straw lengths, and place on the prepared cookie sheet.
Bake for 10 to 15 minutes, or until golden brown and semi-crisp.