By using time-resolved photoluminescence and time-resolved Kerr rotation, we have studied the unique electron spin dynamics in InAs monolayer (ML) and submonolayer (SML), which were sandwiched in GaAs matrix. Under non-resonant excitation, the spin relaxation lifetimes of 3.4 ns and 0.48 ns were observed for 1/3 ML and I ML InAs samples, respectively. More interestingly, the spin lifetime of the 1/3 ML InAs decreased dramatically under resonant excitation, down to 70 ps, while the spin lifetime of the 1 ML sample did not vary much, changing only from 400 to 340 ps. These interesting results come from the different electron-hole interactions caused by different spatial electron-hole correlation, and they provide a direct evidence of the dominant spin relaxation process, i.e. the BAP mechanism. Furthermore, these new results may provide a valuable enlightenment in controlling the spin relaxation and in seeking new material systems for spintronics application