The Lie superalgebra u(4|4) is proposed and used to classify cluster states in light nuclei by means of a mass formula based on a particular chain of subalgebras. The building blocks, n,p,d and α particles are the superpartners corresponding to the totally supersymmetric N = 1 IRREP of u(4|4). A number of states of other nuclei (from 5He to 16O) are interpreted as cluster configurations formed by 2 or more building blocks and corresponding to N = 2, 3, … and their energy is reproduced to a reasonable accuracy. The u(4|4) cluster supersymmetry seems therefore to be approximately realized in nature since it accommodates in a single scheme many nuclear states pertaining to different even and odd isotopes. This furnishes a second important example of supersymmetry in nuclear physics.