My schematics are the same as shown here: http://www.hobbyist.co.nz/?q=real_time_clock

This is my code, it's just the example code from the imported library for the clock.

// Date and time functions using a DS1307 RTC connected via I2C and Wire lib
#include <Wire.h>
#include "RTClib.h"
#if defined(ARDUINO_ARCH_SAMD)
// for Zero, output on USB Serial console, remove line below if using programming port to program the Zero!
 #define Serial SerialUSB
#endif
RTC_DS1307 rtc;
char daysOfTheWeek[7][12] = {"Sunday", "Monday", "Tuesday", "Wednesday", "Thursday", "Friday", "Saturday"};
void setup () {
#ifndef ESP8266
 while (!Serial); // for Leonardo/Micro/Zero
#endif
 Serial.begin(57600);
 if (! rtc.begin()) {
 Serial.println("Couldn't find RTC");
 while (1);
 }
 if (! rtc.isrunning()) {
 Serial.println("RTC is NOT running!");
 // following line sets the RTC to the date & time this sketch was compiled
 rtc.adjust(DateTime(F(__DATE__), F(__TIME__)));
 // This line sets the RTC with an explicit date & time, for example to set
 // January 21, 2014 at 3am you would call:
 // rtc.adjust(DateTime(2014, 1, 21, 3, 0, 0));
 }
}
void loop () {
 DateTime now = rtc.now();
 
 Serial.print(now.year(), DEC);
 Serial.print('/');
 Serial.print(now.month(), DEC);
 Serial.print('/');
 Serial.print(now.day(), DEC);
 Serial.print(" (");
 Serial.print(daysOfTheWeek[now.dayOfTheWeek()]);
 Serial.print(") ");
 Serial.print(now.hour(), DEC);
 Serial.print(':');
 Serial.print(now.minute(), DEC);
 Serial.print(':');
 Serial.print(now.second(), DEC);
 Serial.println();
 
 Serial.print(" since midnight 1/1/1970 = ");
 Serial.print(now.unixtime());
 Serial.print("s = ");
 Serial.print(now.unixtime() / 86400L);
 Serial.println("d");
 
 // calculate a date which is 7 days and 30 seconds into the future
 DateTime future (now + TimeSpan(7,12,30,6));
 
 Serial.print(" now + 7d + 30s: ");
 Serial.print(future.year(), DEC);
 Serial.print('/');
 Serial.print(future.month(), DEC);
 Serial.print('/');
 Serial.print(future.day(), DEC);
 Serial.print(' ');
 Serial.print(future.hour(), DEC);
 Serial.print(':');
 Serial.print(future.minute(), DEC);
 Serial.print(':');
 Serial.print(future.second(), DEC);
 Serial.println();
 
 Serial.println();
 delay(3000);
}