Autonomy is the act of being independent and freedom from external control. Autonomy has many advantages and it gives the opportunity for staff to execute their jobs in the best way possible achievable to them.
Benefits of exercising autonomy in organisations include:

Builds trust: by giving your staff the freedom and opportunity to work at their own pace and not over monitoring them, you encourage their ability to trust you since they understand they are trusted with tasks.

Ability to be better: freedom and independence give workers opportunity to take risk and try out new ideas. It encourages specialisation and innovations.
Gives opportunity for boundary: freedom is a key element for optimum efficiency, so it gives the employer the opportunity to set strict rules and boundary that would govern the execution of a job.

Optimum efficiency: mistakes are inevitable in life processes but autonomy encourages the ability for people not to work in fear of getting it wrong or being badly scrutinized all the time.
Encourages development: autonomy gives people the opportunity to do their own thing aside. It gives room for self development and time management which is a considerable factor for any work process.

Provision of tools: this system demands the provision of necessary tools needed for the completion of every work process. This makes work achievable and helps quality work delivery.
As an employer, it is beneficial to give your staff the opportunity to give their best by not constantly being on their neck or scrutinising them about work processes.