I will examine the string dual of the recently constructed N = 6 superconformal Chern-Simons theory of Aharony, Bergman, Jafferis and Maldacena (ABJM theory). In particular I will focus on the SU(2)X SU(2) sector. I will derive the full magnon dispersion relation and compare it to recently found results for ABJM theory at weak coupling. Then I will consider finite-size corrections to the energy of string states in the R X S2 X S2 subspace of AdS4 X CP3 with an angular momentum J on CP3 being large, using two different approaches. I will compare the results with the recently proposed all-loop Bethe ansatz of Gromov and Vieira.