The phrase 'developed a dislike' is correct and usable in written English.
You can use it when someone has grown to dislike something over a period of time, such as in the example sentence, "After months of working long hours, he developed a dislike for his job."
Mohammed developed a dislike for the U.S. in his time here.
In turn, I've developed a dislike of people with quiet voices and can't help thinking they are deliberately making life hard for me.
Horrified by the anger of a senior physician whose NHS waiting list Peter had cleared while covering his leave, thus preventing, as he saw it, the doctor from prioritising his private patients, Peter developed a dislike for private practice.
He has waged highly personal attacks against people for whom he has developed a dislike: Yelland's baldness was ridiculed daily; Private Eye editor Ian Hislop has been taunted by threats of damaging revelations that have never made it to print; and the Top Gear presenter Jeremy Clarkson believes Morgan has a personal grudge against him.
Soon after the album's release, Frusciante developed a dislike of the band's newfound popularity.
During her time with FERA, Hickok developed a dislike of reporters.
Some female athletes develop a dislike for the muscular physiques they develop as a result of their athletic participation (George 2005; Howells and Grogan 2012).
Soon after the album's release, he began to develop a dislike for the band's popularity.
Develop a dislike for the expectation that you will someday reproduce.
Some men think it's "cool" to only eat meat, and develop a dislike of green vegetables and other foods because they think it's non-masculine.
However, in contrast, Esquire instantly develops a disliking for Rashad's new love interest, considering her bad company.
