Is it good practice to delegate data validation entirely to the database engine constraints?
Validating data from the application doesn’t prevent invalid insertion from another software (possibly written in another language by another team). Using database constraints you reduce the points where you need to worry about invalid input data.
If you put validation both in database and application, maintenance becomes boring, because you have to update code for who knows how many applications, increasing the probability of human errors.
I just don’t see this being done very much, looking at code from free software projects.
It’s best to, where possible, have your validation rules specified in your database and use or write a framework that makes those rules bubble up into your front end. ASP.NET Dynamic Data helps with this and there are some commercial libraries out there that make it even easier.
This can be done both for simple input validation (like numbers or dates) and related data like that constrained by foreign keys.
In summary, the idea is to define the rules in one place (the database most the time) and have code in other layers that will enforce those rules.