  We survey the results on linear local and 2-local homomorphisms and zero
products preserving operators between C$^*$-algebras, and we incorporate some
new precise observations and results to prove that every bounded linear 2-local
homomorphism between C$^*$-algebras is a homomorphism. Consequently, every
linear 2-local $^*$-homomorphism between C$^*$-algebras is a $^*$-homomorphism.
