<div style="page-break-before:always; page-break-after:always">ARMIE Hammer and Elizabeth Chambers&rsquo; divorce hasn&rsquo;t even been finalized, but he&rsquo;s already moving on. The Call Me by Your Name star, 34, was spotted looking cozy with Rumer Willis during a romantic stroll in Los Angeles Sept. 2. And a source confides to Star that the pair are heating up &mdash; fast. &ldquo;Armie and Rumer have been spending a lot of time together,&rdquo; says the insider. &ldquo;They plan on seeing more of each other, too.&rdquo;<div style="page-break-before:always; page-break-after:always">Already, those close to the &ldquo;smitten&rdquo; Dancing With the Stars champ, 32, are warning her to proceed with caution, as the actor&rsquo;s just getting out of his 13-year relationship with Elizabeth, mom to Harper, 5, and 3-year-old Ford. (In July, he and the TV personality, 38, announced the end of their 10-year marriage.)Rumer&rsquo;s loved ones may be onto something. Days before his outing with the actress, Armie was snapped lunching with writer (and Josh Lucas&rsquo; ex) Jessica Ciencin Henriquez. But, according to the source, Rumer brushed off her dad Bruce Willis&rsquo; concern: &ldquo;She told him not to worry &mdash; she knows what she&rsquo;s doing.&rdquo;Despite the naysayers, Armie and Rumer are simply enjoying getting to know one another, continues the source. And they aren&rsquo;t too concerned with labeling their relationship, either. &ldquo;They&rsquo;re having fun,&rdquo; adds the confidant. &ldquo;That&rsquo;s what life&rsquo;s all about, especially in these strange times.&rdquo;

Armie & Rumer: HOT NEW ITEM?

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