The Collaborative International Dictionary of English v.0.48:

finger painting \finger painting\ n.
   Creating pictures using finger paint.
   [PJC]

Moby Thesaurus II by Grady Ward, 1.0:

28 Moby Thesaurus words for "finger painting":
   acrylic painting, aquarelle, canvas, coloring, easel-picture,
   encaustic cerography, encaustic painting, flower painting,
   fresco painting, genre painting, gouache, grisaille, illumination,
   illustration, impasto, monochrome, mural painting, oil,
   oil painting, painting, picturization, portraiture,
   poster painting, tempera, the brush, wash, wash drawing, water