The phrase "tight leash" means having very strict control or a strong hold over someone or something.
Sentences with «tight leash»
The state has given the charter schools full autonomy over curriculum, hiring and firing and budgets, while keeping its traditional schools on a much tighter leash. (wacharterschools.org)
If your finances are on a very tight leash then instead of settling for dog training collars that can cause permanent harm to your dog, you should opt for a used dog training collar to remain within a tight budget. (trainingcollar.com)
The institution keeps a fairly tight leash on its deputy governors, preferring to let Poloz set the tone. (canadianbusiness.com)