We analyzed the effects of linear energy transfer (LET) on the scintillation properties of a Li glass scintillator, GS20. The temporal profiles of scintillation were measured by using pulsed ion beams with different LETs. The rise in the temporal profiles of scintillation was faster for higher LET, whereas the decay part did not vary significantly for different LETs. The LET effects in the rise were ascribed to excited state interactions during the energy transfer process from the host glass to the luminescent centers, Ce3+ ions. If the light yield decreases with LET, the fast rise at high LET could be explained by the competition between energy transfer and quenching due to the excited state interactions.