Angular distributions for the {sup 9}Be({sup 8}Li,{sup 9}Be){sup 8}Li elastic-transfer reaction have been measured with a 27-MeV {sup 8}Li radioactive nuclear beam. Spectroscopic factors for the bound system were obtained from the comparison between the experimental differential cross sections and finite-range distorted-wave Born approximation calculations made with the code FRESCO. The spectroscopic factors so obtained are compared with shell-model calculations and other experimental values. Using the present value for the spectroscopic factors, cross sections and reaction rates for the {sup 8}Li(p,{gamma}){sup 9}Be direct proton-capture reaction of astrophysical interest were calculated in the framework of the potential model.