A less time consuming alternative to literal showering (with soap and water) in which you shower yourself entirely in body spray deoderant. This is often done by smokers to quickly hide the aroma of whatever it is they were smoking.
The term comes from the racist belief that Natives are dirty, lazy, druggies.
"Oh shit, Mom's home! Quick, hide the gas and we'll take an indian shower!"
"Dude, you smell fucking terrible. Take this can of Axe to the bathroom and give yourself an indian shower."