The phrase "also obsessive" is correct and usable in written English.
It can be used to describe an additional characteristic or behavior that is obsessive in nature, often in relation to a previously mentioned subject.
Example: "Her passion for collecting rare books is impressive, but it can also be obsessive at times."
Alternatives: "additionally compulsive" or "furthermore fixated".
To read: Washingtonian's feature on the Pulitzer-prize winning journalist Gene Weingarten, who is described as "empathetic, even sweet, if also obsessive, slovenly, and slightly nuts".
She is also obsessive about music, playing the 12 guitars that hang up in her home alongside framed posters of the Clash, Patti Smith and Bruce Springsteen.
He's also obsessive, repetitive, entirely preoccupied by memory, which makes it easy to place him as the heir to the Céline who once told a friend, "I've got a thousand pages of nightmare stored up".
But he's also obsessive about Giorgio Moroder (for whom his new album is named, and covers of whom it features – the original of Cat People was produced by Moroder), and about Bowie (he called his label Black Country Rock Media after a track from The Man Who Sold the World. As for Manson, he more or less wishes he were Bowie.
Both are mocked for their alleged vanity, but both are also obsessive in their efforts to constantly self-improve.
Whatever, Leo DiCaprio was also obsessive in the beginning".
At their crudest they seem purely self-regarding: there to present him as an appealing type of slacker-scholar, glued to the History Channel, addicted to video-games, given to amiably flip outbursts of opinion, while also winningly obsessive over questions of micro-historical accuracy, and obsessed with his own obsessiveness.
Abrams was also an obsessive fan.
She was also an obsessive buyer of shoes, costume jewellery and quirky handbags.
Trolling can also be obsessive and highly personalised – a form of stalking.
I also have obsessive compulsive disorder, which mainly manifests in a contamination phobia.
