Do you let anything desert you? - As Jordan said, this doesn't make sense as it is. Maybe if you can put it in a different way to make the meaning of what you want to say clearer?
Do you chivvy people when they are slow on the project ? - this is a British English expression, the correct form being to 'chivvy along', meaning to hurry someone up, encouraging them to move or work faster, so you just need to add in 'along' after 'people' in this sentence.