Seenku (Mande, Burkina Faso) displays a complex tone sandhi system, sensitive to phonological, morphological, and syntactic structure. In this paper, I argue that the opaque, phonetically unnatural alternations are best accounted for in an allomorph selection approach, following work by Tsay and Myers (1996), Zhang and Lai (2008), and others on Taiwanese Southern Min sandhi. In this model, lexical entries contain multiple surface allomorphs along with subcategorization frames, and forms that follow the same pattern are abstracted into increasingly general lexical templates or schemas. Morphology is post-syntactic, with syntactic structure matched with lexical entries, along the lines of Distributed Morphology (Halle and Marantz 1993; Embick and Noyer 2007), but with a richer generative lexicon, as in Construction Morphology (Booij 2010b) or analogical approaches to word formation (e.g. Bybee 1995). The domains of application and the interaction of tone sandhi with both itself and other morphotonological processes point to the need for cyclic application, which I implement using phase-based spell out (Uriagereka 1999; Chomsky 2000). This approach allows for productive extension of the patterns without recourse to an overly complicated phonological component.