Chain
A property chain is a sequence of linked transactions where the sale of one property is dependent on the simultaneous or prior completion of another. In a typical chain: Buyer A needs to sell their house (Property 1) to fund the purchase of Property 2. The seller of Property 2 is using those funds to buy Property 3. Each transaction depends on the others completing.
Chains create delay and risk. The entire chain can be held up by problems with any one transaction. If one buyer's mortgage offer is delayed, one vendor has a change of heart, or one surveyor identifies a serious problem, the whole chain may slow or collapse.
For property investors buying with cash or a straightforward mortgage and not selling another property simultaneously, being "chain-free" is a genuine advantage. It makes you a more reliable buyer in the eyes of vendors and agents and often enables faster completion.
Investment properties bought at auction are chain-free by nature - there is no dependent sale, and completion is required within the auction's set terms (typically 28 days). This speed and certainty is one of the advantages of auction over traditional estate agency.