Assuming that this question is asking about why Cl2 doesn't become the chlorine radical, Cl., under normal circumstances:
Chlorine is one of the diatomic elements—elements that, essentially, only exist in nature in as a diatomic molecule.
Other diatomic elements are Br2, I2, N2, H2, O2, and F2.
This is because the Cl2 molecule is much more stable and much less reactive than the Cl. atom.
In a regular atom of Cl., there are 7 valence electrons.
It needs just 1 more valence electron to achieve noble gas configuration (8 electrons, in this case), so it is reactive, because it wants to gain that 1 electron.
In the Cl2 molecule, both of the chlorine atoms have noble gas configuration:
So, chlorine is much more stable as Cl2, compared to Cl., because Cl. wants to gain 1 more electron to achieve noble gas configuration—which Cl2 already has.