???? I keep clean by washing and laundering.
At the very worst wet wipes are a godsend
Pocket showers are usefull, lakes and streams are ... bracing ... and you need to ensure you do not polute them with soaps etc.
If you want to go "natural" a scrub down with horsechestnut leaves (or grated conkers), soapwort etc, mashed in warm water, will be useful and non poluting. For tooth care try a chewed end of a hazel twig as a toothbrush and salt or soot for toothpaste (tastes bad but works - rinse thoroughly), crusty gobs of spruce resin make a good antiseptic chewing gum for reduction of bad breath - as does chewing various herbs in the mint family!
Rubbing "body folds" with sweet smelling herbs or strongly scented flowers helps make you smell sweeter still - but beware of adverse reactions from sensitive skin!
As Toddy says - one set on, one in the wash and one ready and you have all the clothing you need. This is the system I used for years on long hikes (the longest took a few months and covered 1000km) and on month long expeds around the world.
Natural fibre fabrics tend to pong less and not as fast as artificial fibre clothing.
Horse chestnut "soap" can be used on clothing and by adding mint, lavender, pine etc to the final rinse you get nicely scented smalls