Short answer: it can't, sorry.
1. The world is too big
A common fallacy among Worldbuilding questions, I've noticed, is the idea that technology emanates completely. People assume that when tech is developed - such as easy space travel - woohoo, the world is abuzz with spaceships, everyone is in the golden age, the world has completely changed!
Yet even today, in 2017 - about 200,000 years after the evolution of the modern human, and 12,000 years after the invention of agriculture - there are still hunter-gatherers in the remote jungle, 60% of the world doesn't have wifi, and there are billions without access to medical care - let alone clean water.
Even if the reasons I'm going to list below aren't factored in, and developed countries with cloning technology eliminate all males - there will be parts of the world where you don't see this change.
2. History had men and women
Men, in addition to women, are important. If men accomplished half of all historical achievements - likely more, considering sexism prevented many potential female leaders, generals, scholars, and more, from being able to contribute - then they will not be thrown out. People value both genders.
3. Not everyone will consent to change
There are parts of the most developed countries today that view topics like gay marriage, women's right to choose, and females in leadership positions as non-traditional, taboo, or sinful (FYI I'm not taking a stance on those topics, just stating a fact). Regardless of your views of those topics, it is clear that 100% agreement cannot be achieved. Many families (far more than 1 in 100, as the question says for 2117) will simply refuse to participate in any genetic modification, let alone removing males.
4. Personal preferences matter
Many people may accept cloning / genetic modification, but there is no reason for men to become extremely "unfashionable" in their eyes. Many parents / couples will choose to opt for masculine traits when designing / selecting offspring, because they may still be viewed as adequate or attractive.
5. Sexuality exists in addition to gender
No matter how many men you eliminate, there will be women - and, well, men - who will continue to be attracted to men. Reproduction aside, you can't take away what roughly half the population is attracted to and expect them to be attracted to themselves.
6. Cloning may be bad for the population
Direct cloning - using a person's DNA to fertilize them self - can result in multiple genetic disorders (mandatory xkcd reference on page 158 of the book What If). Additionally, genes spread across the whole population because they're "popular" - whether they belong to a celebrity, or they provide superior abilities, or desirable physical traits - will lower genetic diversity, which can be a problem in the long run.