  We report on the magnetic and phononic excitation spectrum of Sr3Cr2O8
determined by THz and infrared (IR) spectroscopy, and electron spin resonance
(ESR) measurements across the Jahn-Teller transition, which is detected by
specific-heat measurements to occur at T_{JT} = 285 K. We identify the
singlet-triplet excitations in the dimerized ground state and estimate the
exchange couplings in the system. Moreover, ESR absorptions were observed up to
T* = 120 K with a linewidth proportional to exp{-Delta/k_{B}T} and Delta/k_{B}
= 388 K indicating a phonon-mediated spin relaxation via the excited orbital
state of the Cr $e$ doublet in the orbitally ordered state. In contrast to the
expected drastic change of the IR active phonons upon entering the low-symmetry
Jahn-Teller distorted phase below T_{JT}, we find an extended regime
T*<T<T_{JT} where the IR active phonons change only gradually with decreasing
temperature. This regime is associated with strong fluctuations in the orbital
and lattice degrees of freedom in agreement with the loss of the ESR signal
above T*. Using the measured magnetic and phononic excitation spectrum we model
the orbital contribution to the specific heat and find the persistence of
strong fluctuations far below T_{JT}.
