RTLD_LAZY is a flag that you can pass to dlopen() when you load a shared object.
Even though the word lazy in the name suggests that it's about lazy binding as described above in Lazy binding, it has different semantics. It makes (semantically) no difference whether a program is lazy- or now- bound, but for objects that you load with dlopen(), RTLD_LAZY means there may be symbols that can't be resolved; don't try to resolve them until they're used. This flag currently applies only to function symbols, not data symbols.
What does it practically mean? To explain that, consider a system that comprises an executable X, and shared objects P (primary) and S (secondary). X uses dlopen() to load P, and P loads S. Let's assume that P has a reference to some_function(), and S has the definition of some_function().
If X opens P without RTLD_LAZY binding, the symbol some_function() doesn't get resolved—not at the load time, nor later by opening S. However, if P is loaded with RTLD_LAZY | RTLD_WORLD, the runtime linker doesn't try to resolve the symbol some_function(), and there's an opportunity for us to call dlopen("S", RTLD_GLOBAL) before calling some_function(). This way, the some_function() reference in P is satisfied by the definition of some_function() in S.
There are several programming models made possible by RTLD_LAZY: