Local dynamics around an order-disorder structural phase transition is studied in particular by analyzing the influence of pretransitional collective fluctuations on individual dynamics. We use experimental results from proton nuclear magnetic resonance and incoherent neutron scattering on p-terphenyl. The combination of both techniques yields a more complete description of the local critical and non-critical dynamics in such systems and confirms our first interpretation of the N.M.R. results, different from that of other authors.