Step 1: Understanding the Concept:
An allylic carbon is the carbon atom adjacent to a carbon-carbon double bond ($C=C-C_{allyl}$). An allylic halide has the halogen attached to this specific carbon.
Step 2: Formula Application:
Check the position of Cl:
1. $CH_2=CH-CH_2Cl$: Cl is on carbon next to double bond. (Allylic)
2. $CH_3-CH=CH-CH_2Cl$: Cl is on carbon next to double bond. (Allylic)
Step 3: Explanation:
In 1-chlorocyclohex-1-ene, the Chlorine is attached directly to a carbon of the double bond. This is called a Vinylic halide, not allylic. In 3-chlorocyclohex-1-ene, the Chlorine is on the adjacent carbon, which is allylic.
Step 4: Final Answer:
1-chlorocyclohex-1-ene is not an allylic chloride.