The reaction of dibenzo[a,d]cycloheptan‐5‐one (dibenzosuberone) and dibenzo[a,d]cyclohept‐10‐en‐5‐one (dibenzosuberenone) with aryl‐ or trimethylsilylacetylides led to the formation of the corresponding alkynyldibenzosuberols and alkynyldibenzosuberenols. Treatment with dicobalt octacarbonyl and then with bis(diphenylphosphino)methane (dppm) furnished the corresponding [Co2(CO)4(dppm)(alkynol)] clusters 25 and 29. Upon protonation with HBF4 at 203 K to generate the relevant cobalt‐stabilised cations, the dibenzosuberyl system 30 exhibited fluxionality such that the cation migrated between cobalt centres. Variable‐temperature 31P NMR spectroscopy revealed a barrier of approximately 12.5 kcal mol−1. In contrast, in the supposedly aromatic [Co2(CO)4(dppm)(dibenzosuberenyl)]+ cation (31), which would be expected to have less need of cobalt stabilisation, the barrier was too high to be measured experimentally, but is certainly in excess of 16 kcal mol−1. These data were rationalised by DFT calculations on the structures and energies of the relevant ground states and transition states, which suggested that the nonplanar alkynyldibenzosuberenyl moiety in 31 is better regarded as a neutral dibenzoheptafulvene coordinated to a cationic alkynyl–dicobalt cluster. The question of the bonding of both aromatic and antiaromatic cations to alkyne–dicobalt clusters is considered, and it is proposed that their stabilities, when complexed, parallel the inversion of (4n+2) π and 4n π systems seen under photochemical conditions.