Here is the simple trick that shows you the user you connected as on the current database. Also note that the values will change automatically when you make another connection from the same window using "connect".
set sqlprompt "_user'@'_connect_identifier: SQL>"
SQL> set sqlprompt "_user'@'_connect_identifier>"
HR@test: SQL>
Now change the connection:
hr@test: SQL> connect san@prod
Enter password:
Connected.
SAN@prod: SQL> connect san@test2
Enter password:
ERROR:
ORA-12514: TNS:listener does not currently know of service requested in connect
descriptor
Warning: You are no longer connected to ORACLE.
@: SQL>
Hope this trick comes in handy.
BTW, this trick is from 10g onwards only.