Rob from the 43oh blog has posted his method to interface a 24LC32A serial EEPROM interface to the Launchpad. The 24LC32A is a 32Kb PROM with a 2 wire serial interface or I2C compatible, and since it can be clocked @400kHz @3.6V bit banging seemed like it would be easy. External pull up should be between 2k-10k. While the suggested value is ~2k for 400kHz, he used a 10k and reports it’s working fine.
The code is available here.