What we call "freedom", how we define freedom is very important. The monks and nuns in Buddhism, especially Theravadin Buddhism, take on different rules of how they're going to live. The monks have something like 200 plus rules, and amongst these rules are a limitation of how much clothing they use, what kind of dwelling they live in, and many other things. These are rules that force a type of renunciation onto them. Most monks and nuns are quite okay with these rules. They're quite happy to have simplicity. Because they are focusing on another type of freedom - becoming free of the hindrances and Dukkha.
When most monks take on the 200-odd rules, they take it on willingly. It's not forced, because they're ordaining willingly.
So, renunciation and freedom, how are we going to look at this? Can we renounce and gain freedom at the same time? Yes, it's absolutely possible, and this is what we're talking about. How are we going to renounce and gain freedom? Renunciation will come easiest when we see the Dukkha of something, and we realize that the Dukkha of something is actually stopping us from being free. So when you see the Dukkha of something, and you let go of it, that "letting go" is the same thing as renouncing it when there's wisdom involved, and there is freedom.
If renunciation is forced on you, it's not going to be much fun, but if you actually want to renounce, due to compassion for yourself and others, then you'll find you gain a freedom afterwards.