Can I use 1 clock module for multiple Arduinos? I want to connect an RTC to a master Arduino, send the time data to a slave Arduino through I2C, then connect an LCD to the slave and print it out. 

can it be done? A think it would mean that the slave Arduino is a master for the LCD a the same time and it would mess up my code. Any input would be highly appreciated.
The LCD is connected over SPI. The MCU can be an I2C slave and the SPI master. There is no conflict.