How to make a timer program in Python

Question

Here is my goal: To make a small program (text based) that will start with a greeting, print out a timer for how long it has been since the last event, and then a timer for the event. I have used this code to start out with trying to figure out a timer, but my first problem is that the timer keeps repeating on a new line with each new second. How do I get that to stop? Also, this timer seems to lag behind actual seconds on the clock.

import os
import time


s=0
m=0

while s<=60:
    os.system('cls')
    print (m, 'Minutes', s, 'Seconds')
    time.sleep(1)
    s+=1
    if s==60:
        m+=1
        s=0

Answer 1

# Timer
import time
import winsound
print "               TIMER"
#Ask for Duration
Dur1 = input("How many hours?  : ")
Dur2 = input("How many minutes?: ")
Dur3 = input("How many seconds?: ")
TDur = Dur1 * 60 * 60 + Dur2 * 60 + Dur3
# Ask to Begin
start = raw_input("Would you like to begin Timing? (y/n): ")
if start == "y":
    timeLoop = True

# Variables to keep track and display
CSec = 0
Sec = 0
Min = 0
Hour = 0
# Begin Process
timeLoop = start
while timeLoop:
    CSec += 1
    Sec += 1
    print(str(Hour) + " Hours " + str(Min) + " Mins " + str(Sec) + " Sec ")
    time.sleep(1)
    if Sec == 60:
        Sec = 0
        Min += 1
        Hour = 0
        print(str(Min) + " Minute(s)")
    if Min == 60:
        Sec = 0
        Min = 0
        Hour += 1
        print(str(Hour) + " Hour(s)")
    elif CSec == TDur:
        timeLoop = False
        print("time\'s up")
        input("")
    while 1 == 1:
        frequency = 1900  # Set Frequency To 2500 Hertz
        duration = 1000  # Set Duration To 1000 ms == 1 second
        winsound.Beep(frequency, duration)

I based my timer on user5556486's version. You can set the duration, and it will beep after said duration ended, similar to Force Fighter's version