Here's what rhymes with competences.

Consider these alternatives

competencies / incompetencies aptitudes / groups delegated / created differentiated / dated communicative / uncommunicative applicability / ability responsibilities / abilities delineate / late ambit / advantage abilities / facilities complementarity / therapy foundational / educational specialisation / relation administrate / late congruity / continuity underlie / lie noncontiguous / ambiguous employability / stability subparts / parts specializations / relations