How to provision field in SharePoint Online via CSOM in PowerShell
CSOM API comes with:
to add a list or site column. 
The example below demonstrates how to add GeoLocation field into Contacts List:
[System.Reflection.Assembly]::LoadWithPartialName("Microsoft.SharePoint.Client")
[System.Reflection.Assembly]::LoadWithPartialName("Microsoft.SharePoint.Client.Runtime")
function Provision-Field([Microsoft.SharePoint.Client.ClientContext]$Context,[string]$ListTitle,[string]$FieldSchema)
{
   $list = $Context.Web.Lists.GetByTitle($ListTitle)
   $List.Fields.AddFieldAsXml($FieldSchema,$true,[Microsoft.SharePoint.Client.AddFieldOptions]::AddFieldToDefaultView)
   $Context.Load($List)
   $Context.ExecuteQuery()
}
$UserName = "username@contoso.onmicrosoft.com"
$Password = Read-Host -Prompt "Please enter your password" -AsSecureString
$URL = "https://contoso.sharepoint.com/"
$Context = New-Object Microsoft.SharePoint.Client.ClientContext($URL)
$Credentials = New-Object Microsoft.SharePoint.Client.SharePointOnlineCredentials($UserName,$Password)
$Context.Credentials = $Credentials
Provision-Field $Context "Contacts" "<Field Type='Geolocation' DisplayName='Location'/>"
How to provision field in SharePoint Online via REST in PowerShell
Endpoints:
http://<site url>/_api/web/fields('<field id>')
http://<site url>/_api/web/lists(guid'<list id>')/fields('<field id>')
The article Consuming the SharePoint 2013 REST API from PowerShell describes how send  HTTPS requests to SharePoint REST web services. 
Using the Invoke-RestSPO function from the article, the following example demonstrates how to add Note field to List using REST API in PowerShell: 
Function Add-SPOField(){
Param(
[Parameter(Mandatory=$True)]
[String]$WebUrl,
[Parameter(Mandatory=$True)]
[String]$UserName,
[Parameter(Mandatory=$False)]
[String]$Password,
[Parameter(Mandatory=$True)]
[String]$ListTitle,
[Parameter(Mandatory=$True)]
[String]$FieldTitle,
[Parameter(Mandatory=$True)]
[System.Int32]$FieldType
)
    $fieldMetadata = @{ 
      __metadata =  @{'type' = 'SP.Field' }; 
      Title = $FieldTitle;
      FieldTypeKind = $FieldType;
    } | ConvertTo-Json
   $Url = $WebUrl + "_api/web/Lists/GetByTitle('" + $ListTitle +  "')/fields"
   $contextInfo = Get-SPOContextInfo $WebUrl $UserName $Password
   Invoke-RestSPO $Url Post $UserName $Password $fieldMetadata $contextInfo.GetContextWebInformation.FormDigestValue
}
. ".\Invoke-RestSPO.ps1"   #InInvoke-RestSPO function
$UserName = "username@contoso.onmicrosoft.com"
$Password = Read-Host -Prompt "Please enter your password" 
$WebUrl = "https://contoso.sharepoint.com/"
Add-SPOField -WebUrl $WebUrl -UserName $UserName -Password $Password -ListTitle "Documents" -FieldTitle "Comments" -FieldType 3
References