The phrase "little modesty" means someone doesn't have or show much humility or humility. They may act or speak in a way that shows they are proud or boastful. Full definition
Not too dissimilar to Lineker presenting national TV with very little modesty, there's quite a few people who've decided to run through the streets in nothing but their birthday suits. (squawka.com)
The pesternal is a largely redundant adornment and affords little modesty in the bath house. (theexpeditioner.com)
Two small groups can travel together, people changing have access to a little modesty, etc.. (geekwrapped.com)