Cajunluvie, that's really cute! Your two characters have lots of personality, and they sound very natural. You're doing a lot of 'showing, not telling', and I don't see any of the kinds of punctuation and capitalization errors that tend to trip people up when writing dialog.
I do have a few suggestions, but they're subtle tweaks--not necessarily things that you've done incorrectly.
Adrian Beecher smiled at his wife of twenty years. Sliding his arm around her shoulders he remarked, "Cathie, have I mentioned how beautiful you are, lately?"
I'd use 'said' in place of 'remarked'.
He heard her giggle and saw her head shake a little.
"Silly you. You just told me that an hour ago. What's all this talk for?" Cathie looked up in his eyes. Her lips twitched before she could stop it.
Since this is all Cathie talking and acting, I'd put it all in one paragraph:
Cathie giggled and shook her head a little. "Silly you. You just told me that an hour ago. What's all this talk for?" She looked up in his eyes, and her lips twitched.
"Ah, I just wanted to say it."
"Wha...” Adrian held up his hands in the air, palm forward. “You don't believe me, babe?"
This is all fine!
She reached across the sofa arm and pulled out a book, The Five Love Languages and waved it in front of his face. Adrian’s heart beat quicker. He managed to keep his face stoic.
"Does this have to do with why you're giving me a lot of compliments today?"
Here, you end one paragraph with Adrian, and then follow with a bit of tagless dialog in a second paragraph. The reader might be temporarily disoriented--who's speaking now? Consider giving that last bit of speech a tag.
"Does this have to do with why you're giving me a lot of compliments today?" Cathie perched her hands on her hips, awaiting his reply.
Cough. Cough. She busted you, Adrain Beecher. Got ya real good. Just look at her, grinning like the cat that ate a canary. Jeez, I love that woman. Can’t get anything around that one. Might as well fess up, old man.
“Well, Mike told me it helped with his marriage. Figured it couldn’t hurt to read.”
This can all be in one paragraph--it's all Adrian.
Cathie glanced at the book, flipped through the pages, and held it against her chest. “So, you think we need help in ours?” She leaned her head to the right and waited for his reply.
“Hey, I said I read it. That’s all. It just put some things in perspective, ya know?” Adrian flashed a teasing grin, “Besides, you are a beautiful woman.”
“Humph.” She rolled her eyes. “Sounds like the Beecher charm is working overtime.”
This is fine.
See what I'm saying here? A person's actions and her speeches, in general, go in their own paragraph. If you switch to another person, either in speech or action, give that person their own paragraph. And if you have taglass dialgoue, be sure that it's evident who's speaking.