Golf clubs and golf club heads, such as putter heads, may include a putter body and an insert forming a ball striking face and engaged with the putter body. Portions of the insert may be formed of a metal material, while portions of the insert may be formed of a polymer material. The insert may include a base portion having grooves formed therein. This base may be joined with another material to form the insert. In some arrangements, the insert may be a two-sided, reversible construction and may have different performance characteristics associated with each side of the insert. Methods for making such putter devices are also described.