A rolling stone gathers no moss is a proverb, first credited to Publilius Syrus, who in his Sententiae states, "People who are always moving, with no roots in one place or another, avoid responsibilities and cares." The phrase spawned a shorter mossless offshoot image, that of the rolling stone, and modern moral meanings have diverged, from similar themes such as used in the popular song "Papa Was a Rollin' Stone", to a more complementary commentary on "freedom" from excessive rootedness, such as in the band The Rolling Stones.

Source: Wikipedia