A branch, offshoot, or the branching out of something can represent: One portion of something larger (such as a branch of a company).
A divergence or diversification.
Proliferation or multiplication.
Multiples of something (projects, attempts, generations, iterations, etc.).
Variation.
The idea of things getting more complicated (as in one branch sprouting several smaller branches).
Cause and effect, or one thing leading to another.
A decision or choice.
A tangent or “offshoot” (such as a detour or an aside).
See Plant, Tree, Stem or Trunk, Crossroads, Path, Arm, Leg