Golf clubs and golf club heads, such as putter heads (102), may include a putter body and an adjustable ball striking face insert (116) forming at least a portion of the ball striking face (104) and contained within the putter body. The insert (116) may have a plurality of sides (118a, 118b, 118c, 118d), each of the sides having different performance characteristics to permit customization of the putter (100). In some examples, the adjustable ball striking face insert (116) may be rotatably mounted within the putter head. Additionally or alternatively, the insert (116) may be removably mounted within the putter head (102). In some arrangements, the insert (116) may be finely adjustable to alter the loft angle of the putter head (102).