Recently one of my Favorite Lipstick came out of tube, I think its because I stored it upside down. So I saw this post which helped a lot, its soo easy to do, just five seconds. The Steps look really big here, but trust me it took hardly 5 seconds.
I took this content from http://www.wikihow.com/Repair-a-Broken-Lipstick
If your lipstick has broken off but it's still in good shape overall, or if your lipstick has melted in your car and is not in good shape, it is worth trying to repair it rather than throwing it away. There is a system available to repair a broken or melted lipstick using a lipstick mold that allows you to re-create a professionally shaped lipstick and put it back into your own twist-up tube. Start with Step 1 to save your favorite lip color!
Step 4 Remove the broken piece. If it hasn't already fallen off, remove it with the gloved hand.
Step 5 Stand the base of the lipstick upright on the workspace. Swivel it up as far as possible.
Step 6 Take a match or a lighter. Carefully run the lit match or lighter underneath the base of the broken part of the lipstick. Slightly melt the area that the broken piece will be attached to as well. Take care not to burn the lipstick or melt the case.
Step 7 Pick up the broken piece in your gloved hand and attach gently to the base of the lipstick.
Step 8 Seal the edges. Use a toothpick or the end of a clean match to gently move the sides of the lipstick together and seal the stick as one piece.
Step 9 Put the lipstick in the refrigerator for about half an hour or until cooled completely.
Step 10 Throw away the paper towels and any resulting mess. Your lipstick is now ready to use as usual.
Disclaimer :- This content is from WIKIHOW