Exchanges usually have hot wallets and cold storage; they use hot wallets to maintain liquidity on their platform, cold storage are for safe guarding of funds and such addresses are not connected to the internet, so they do not make frequent transactions.
By tracing the transactions to and from an exchange's hot wallet, the address of a account holder on that platform can be identified.

You would have to hack the exchange.
Or you would have to get the Government involved so that they will confiscate the user database and conveniently hand it over to you 
I personally don't think the second one is an option, so happy hacking 

However, sometimes you can identify addresses by their exchange if they use a prefix.
For example like this:

These are exchange addresses but it's not going to help you any further.
 

Bitcoin addresses are psedo anonymous; this means that even if addresses are public and transparent a real life identity cannot be linked to it as no such information is available on the network.
It's not possible to;
• Identify the personal information of a wallet holder through the network

It is possible to;
• View the balance and transaction history of an address
• Establish a link between several addresses based on their transaction history
• Identity exchange addresses, but the information of the owner of the account cannot be gotten except the exchange is hacked (or requested by a government agency)

Not familiar with Chainlink transactions but in which wallet you use for sending and what's the wallet address as the receiver? and isn't it the same as the other crypto transactions that whenever you send with a wrong address, it is irreversible.