That site you linked to is a perfect example of how not to develop a web site. I can't read a damned thing on that page. Sorry I can't help you.

Arrrgh! My eyes!
Honestly, it's almost impossible to read the code, and the download link is not valid. But anyway, in what I can barely make out is the source is this:
// ATMega8 Code
// ATMega8 Code
#define DATAOUT 11 //MOSI
#define DATAIN 12 //MISO
#define SPICLOCK 13 //sck
#define RTC_CHIPSELECT 7 // chip select (ss/ce) for RTC, active high
#define LED 10
You had:
DS1306 Arduino
Pins 1,8 GND
Pins 16,14,9 5V
Pin 2 3V
Pin 3,4 Crystal
Pin SDO,SDI,SCLK Pins 12,11,13
Pin 10 Pin 6
Pin 6(+10k in Vcc) Pin 3
You have Chip Enable (pin 10 on the device) connected to pin 6, but the code requires pin 7.
If that isn't the answer, how about posting the whole sketch?